Least Common Multiple (LCM) of 140 and 183
The least common multiple (LCM) of 140 and 183 is 25620.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 140 and 183?
First, calculate the GCD of 140 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 140 ÷ 183 = 0 remainder 140 |
| 2 | 183 ÷ 140 = 1 remainder 43 |
| 3 | 140 ÷ 43 = 3 remainder 11 |
| 4 | 43 ÷ 11 = 3 remainder 10 |
| 5 | 11 ÷ 10 = 1 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 57 | 798 |
| 79 and 177 | 13983 |
| 120 and 142 | 8520 |
| 67 and 152 | 10184 |
| 62 and 79 | 4898 |